Beschreibung:
This textbook presents finite element methods using exclusively one-dimensional elements. It presents the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understanding of the principles of basic and advanced mechanical problems. The reader will easily understand the assumptions and limitations of mechanical modeling as well as the underlying physics without struggling with complex mathematics. Although the description is easy, it remains scientifically correct.
Motivation for the Finite Element Method.- Bar Element.- Torsion bar.- Bending Element.- General 1D Element.- Plane and Spatial Frame Structures.- Beam with Shear Contribution.- Beams of Composite Materials.- Nonlinear Elasticity.- Plasticity.- Stability (Buckling).- Dynamics.- Special Elements.